Atkin-Lehner |
3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18081c |
Isogeny class |
Conductor |
18081 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-75092695597269 = -1 · 33 · 79 · 413 |
Discriminant |
Eigenvalues |
-1 3+ 3 7- -4 3 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5081,440878] |
[a1,a2,a3,a4,a6] |
j |
-13312053/68921 |
j-invariant |
L |
2.1237023453498 |
L(r)(E,1)/r! |
Ω |
0.53092558633745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18081e1 18081f1 |
Quadratic twists by: -3 -7 |